Question

Divide 2x4- 4x3 - 11x2 + 3x - 6 by x + 2.

Answer 1

You start off with 2 ÷4 then

Answer 2

Quotient = 2x³ -8x² + 5x - 7 and remainder = 8

Explanation:

Given expression,

`(2x^4-4x^3-11x^2+3x-6)/(x+2)`

By the long division method ( Shown below )

We get,

`(2x^4-4x^3-11x^2+3x-6)/(x+2)=2x^3-8x^2+5x-7+(8)/(x+2)`

Hence, Quotient = 2x³ -8x² + 5x - 7,

Remainder = 8